We look at the division of 8888 by 7 
Let's see how many times 7 fits into 8888.

Going ahead to step 1:
7 can be fit into 8 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 7 away from 8, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 7

Step 2:
18 divided by 7 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 4 after subtracting 14 from 18.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 7

Moving on to step 3:
7 goes into 48 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 126.0
If we subtract 42 from 48, we get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 7

Let's proceed to step 4:
If we divide 68 by 7, we get 9 and a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 1269.0
Deduct 63 from 68 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 5:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1269.7
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
7 goes into 10 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1269.71
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 7 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 1269.714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
7 goes into 20 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1269.7142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 1269.71428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1269.714285
Subtracting 35 from 40 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1269.7142857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1269.71428571
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 1269.71428571, with a leftover of 3e-09.